Problem 1
A small body of mass m is released from rest on a smooth straight ramp of length L inclined at angle α to the horizontal. The ramp ends at height h above a level floor, and the body leaves tangentially before landing. Neglect air resistance and take g=9.8 m/s². (a) Find the acceleration and travel time. (b) Find the speed and velocity components at the edge. (c) Determine flight time and horizontal range. Use SI units throughout and treat components as ideal exactly as specified. State sign conventions when writing equations and retain units in final results.
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Collect results in the order asked. Dimensions and physical signs provide independent checks; they do not replace the derivation but can expose algebraic errors.